introduction nowadays, many studies were performed about noise source and its type and effects related to duration of sound emission. most of these researches just report sound pressure level in frequency or time domain. these researches should be continued in order to find better absorber material in noise pollution. use of fractal geometry is a new method in this filed. wave fractal dimension...

There are several methods for estimating the fractal dimension of a time series of data such as the box counting method and the correlation method [DeGrauwe, Dewachter and EmbrechtS, 1993] [peitgen and Saupe, 1988]. The application of these methods are often demanding in computing time and require expert interaction for interpreting the calculated fractal dimension. Artificial neural nets (ANN)...

Comparative complexity analysis of EEGsignals registered before and after exposure to strong white light was performed using nonlinear quantifiers fractal dimension and cumulative pattern entropy of the signal. Some subjects are strongly influenced by exposure to light whereas others are unresponsive. Introduction The main analytical paradigm for EEG analysis has been its spectral decomposition...

Keywords: fractal geometry, fractional derivative, fractional Fourier transform, fractional power of a matrix, self similarity, complex partial differential equation, broadband ultrasound, frequency-dependent attenuation, time domain. 1. Backgrounds The rational behind this model is schematically illustrated below: Fractal geometry (irregular soft tissues) → Fractional Fourier transform (freque...

Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from Ndimensional hypercomplex numbers (N a power of 2, and at least 4) can represent singularities and, as N → ∞, fractals – and thereby, scale-free networks. Any integer > 8 and not a power of 2 generates a meta-fractal or Sky when it is interpreted as the strut constant (S) of an ensemble of octahedral vertex figures called Box-Kite...

Use of a deterministic fractal-multifractal (FM) geometric method to model width functions of natural river networks, as derived distributions of simple multifractal measures via fractal interpolating functions, is reported. It is first demonstrated that the FM procedure may be used to simulate natural width functions, preserving their most relevant features like their overall shape and texture...

This paper presents fractal measures for deoxyribonucleic acid (DNA) sequences using fractal and multifractal methodologies ([Kins94] and [RiKi99]), and demonstrates the intriguing possibility of identifying biological functionality using information contained within the DNA sequence. A vast amount of genetic material has been sequenced to date with an exponential growth rate. By 2005, human ge...

The West-Brown-Enquist universal growth curve has been mapped on the power law function with the time-dependent scaling factor and exponent representing the temporal fractal dimension of the growth of species like mammals, birds, fish, crustaceans, regardless of taxon, cellular metabolic rate and body size. The results obtained permit formulation of three important rules governing the biologica...

We analyze the microscopic dynamics of vortex motion through channels that form riverlike fractal networks in a variety of superconducting samples, and relate it to macroscopic measurable quantities such as the power spectrum. As a function of pinning strength, we calculate the fractal dimension, tortuosity, and the corresponding voltage noise spectrum. Above a certain pinning strength, a remar...

Colloidal particles that interact through strong, short-range, secondary attractions in liquids form irreversible "slippery" bonds that are not shear-rigid. Through event-driven simulations of slippery attractive spheres, we show that space-filling fractal clusters still emerge from the process of "slippery" diffusion-limited aggregation (DLA). Although slippery and classic DLA clusters have th...